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Finding the Fourth Proportional to 8,174.89, 12,264.60 and 2,911.10

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Solution

The fourth proportional to 8,174.89, 12,264.60 and 2,911.10 is: 4,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.89 : 12,264.60 = 2,911.10 : x
  2. Step 2: Convert to fraction form
    8,174.89/12,264.60 = 2,911.10/x
  3. Step 3: Cross multiply
    8,174.89x = 12,264.60 × 2,911.10
  4. Step 4: Simplify right side
    8,174.89x = 35,703,477.06
  5. Step 5: Solve for x
    x = 35,703,477.06/8,174.89
  6. Step 6: Final answer
    x = 4,367.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.